Answer:
The slope is 1/5.
The slope means that the puppy's weight is slowly increasing over time.
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
write the numeral: Nine thousand nine hundred?
Answer:
9900
Step-by-step explanation:
i hope my ans helps u
Answer: If you meant roman numeral it is - IX CM
if $350 is shared in the ratio 2:5,the smaller share is
Answer:
$100
Step-by-step explanation:
350/7=50
50x2=100
The price of a CD increased from $20 to $24. Find the percent of increase
need help asappppppp
An irrational number is a real number that cannot be expressed as a ratio of integers. The decimal expansion of an irrational number is neither terminating nor recurring.
Let us check the options one at a time:
OPTION A: -√196
What are the 5 properties of division?
According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.
Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.
The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.
Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.
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An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds for 9 seconds.
Answer:
An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds
step by step solution
An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds for 9 seconds.
a. 2(x + 1) - 7 = 5
x=?
Answer:
x=5
Step-by-step explanation:
2x+2-7=5
2x-5=5
2x=10
x=5
need help on a systems of equations word problem
Answer:
brazil: 12.8 portugal: 14.769230769230769 (you need to round it)
Step-by-step explanation:
just divide.
A
B
C
D
19.86 m
23.78 m
16.31 m
39.42 m
The measure of the side 'x' is 16.31 m. The correct option is C.
Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.
Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.
The value of x will be calculated as,
sin65° = x / 18
x = 18 x sin65°
x = 16.31 m
Hence, the correct option is C.
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Calculate the perimeter of the parallelogram. Round to the nearest tenth, if necessary. Enter the perimeter, in units, using numbers only (decimal point is ok, if needed).
Answer:
28 units
Step-by-step explanation:
Firstly, we can see that the vertical sides are 9 units each.
To get the diagonal sides, we can turn the ends into right triangles, which we can then use with the Pythagorean Theorum.
To make the top side into a triangle, we would draw a horizontal line connecting points (-1, 3) and (3, 3). This creates a right angle which is essential when using the Pythagorean Theorum.
A^2 + B^2 = C^2
We can plug in values for the Pythagorean Theorum because we can see that going across horizontally from point (-1, 3) to (3, 3), there are 4 units in between the two points. This will be our A value. We will do the same but vertically from points (3, 6) to (3, 3). The 3 units between the two points will be our B value. Now, we can plug in our values into the Pythagorean Theorum to find side C, the hypotenuse.
4^2 + 3^2 = C^2
16 + 9 = C^2
25 = C^2
√25 = C
C = 5
Now that we know the diagonal value of the side, we also know the same diagonal value of the bottom side. When you add all four sides together,
9 + 5 + 9 + 5 = 28
you get 28, which is the perimeter of the parallelogram.
which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3
Answer:
3 / 5x^6y^6
Step-by-step explanation:
= -9x^-1y^-9/-15x^5y^-3
= -9y-9 / -15x^6y^-3
= -9 / -15x^6y^6
= 3 / 5x^6y^6
Answer:
b on edge
Step-by-step explanation:
find the radius of convergence and interval of convergence of the series x[infinity] n=1 2 · 4 · 6 · · · 2n 3 · 5 · 7 · · ·(2n 1) x 2n 1 .
The radius of convergence is 0, and the interval of convergence is the single point x = 0.
To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.
\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)
The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.
Let's calculate the limit:
\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)
Simplifying the expression:
\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)
\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)
\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)
Since the limit is infinity, the series diverges for all values of x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.
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complete the following for the system of equations. 2x − 4y = 5 0.6x − 1.2y = 1.5 (a) use a graphing utility to graph the equations in the system
The system of equations can be graphed using a graphing utility to find their intersection point, which represents the solution to the system.
To graph the system of equations, we first need to rearrange them in slope-intercept form, which is y = mx + b. For the first equation, we can solve for y by subtracting 2x from both sides and then dividing by -4, which gives us y = -0.5x + (5/4). For the second equation, we can solve for y by dividing both sides by -1.2 and then simplifying, which gives us y = -0.5x + (5/8). We can then enter these equations into a graphing utility, such as Desmos or GeoGebra, to plot their graphs. The intersection point of the two graphs represents the solution to the system. In this case, the intersection point is (4.4, 1.3), which means that x = 4.4 and y = 1.3 is the solution to the system of equations.
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How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the triangle is 19cm long. Calculate the length of the shortest side in the triangle
Answer:
8.5 cm
Step-by-step explanation:
Angles of the triangle:
x+2x+3x= 1806x= 180x= 3030°, 60° and 90°Right triangle as it has 90° angle
Sides are a, b and 19 cm
sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm = shortest sidesin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cmsimplify the product 5/n+1 multiplied by n+1/n+3
Answer:
It equals 5 /n2+4n+3
Answer:
C. 5 /n+3
Step-by-step explanation:
Which expression is equivalent to 1/2 x +8
A 1/2 (X+4)
B 1/2 (X+16)
C (X+4)
D 2 (X+4)
E 2 (X+16)
Answer:
B
Step-by-step explanation:
and btw i love ur pfp <3
Answer:
It's B
Step-by-step explanation:
You borrow $10000 from the credit union at 12% interest to buy a car. If you pay off the car in 5 years, what will your monthly payment be? $449.55 $222 $2060 $1201 None of these responses is correct
Answer:
Step-by-step explanation:
10,000 x 12% = 1,200
10,000 + 1,200 = 11,200
There are 60 months in 5 years
11,200 ÷ 60 = $186.67
None of these responses is correct
Please help! I’ll give you brainliest immediately
For the lines to be parallel the two angles need to be equal to each other:
128-x = x
Add 1x to both sides
128 = 2x
Divide both sides by 2:
X = 128/2
X = 64
Answer: x = 64
Graph (3,-3),(-2,0),(-2,4)and(5,4)and connect the points.
Answer:
look at the pic below and just connect the points
Step-by-step explanation:
Find the missing value so that two points have a slope of -2. (1y) and (6,-5)
The missing value is the x-coordinate of the missing point, which we've just found to be "-2". Therefore, the two points are (1,3) and (6,-5).
To find the missing value, let's use the slope formula:
slope = (y2 - y1) / (x2 - x1)
We are given one point (6, -5) and the slope -2. Let's assume the missing value is y and the corresponding x-value is x.
Using the slope formula, we can plug in the values:
-2 = (-5 - y) / (6 - x)
Now, we can cross-multiply:
-2(6 - x) = -5 - y
Simplifying further:
-12 + 2x = -5 - y
To isolate y, we'll rearrange the equation:
y = -5 + 12 - 2x
y = 7 - 2x
Therefore, the missing value is 7 - 2x.
To find the missing value, we need to use the slope formula:
slope = (change in y) / (change in x)
We know that the slope is -2, and we have one point (6,-5). Let's call the missing value "x" and the y-coordinate of the missing point "y". Then we can set up an equation:
-2 = (y - (-5)) / (x - 6)
Simplifying this equation, we get:
-2 = (y + 5) / (x - 6)
-2(x - 6) = y + 5
-2x + 12 = y + 5
y = -2x + 7
So the missing value is the x-coordinate of the missing point, which we've just found to be "-2". Therefore, the two points are (1,3) and (6,-5).
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I will give brainliest!!!!
Answer two questions about Equations AAA and BBB:
A.3x-1=7
B.3x=8
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
1. C
2. A
Step-by-step explanation:
Step 1: Write equation
3x - 1 = 7
3x = 8
Step 2: Use 1st equation and solve
3x = 8
x = 8/3
Step 3: Use 2nd equation and solve
3x = 8
x = 8/3
Both equations have equivalent solutions and the 2nd equation is the simplified version of the 1st.
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
solve the equation
pic:
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
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Graph each inequality on a separate number line.
X<4
The inequality x & lt; 4 is represented on a number line .
What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa. Frequently, the integers are represented by specially marked, uniformly spaced points on a line. The line includes all real numbers, continuing indefinitely in both directions, as well as numbers that are in between the integers, even though the image only displays the integers from -3 to 3. It is frequently employed as a teaching tool, particularly when teaching simple addition and subtraction with negative numbers.
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is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then
find the area of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8
the area of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8 is 9, using the concept of area under the curve.
What is the area under the curve?The region between a curve and the -axis is referred to as the "area under a curve." This region may be wholly above the -axis, entirely below the -axis, or somewhere in between. The area under a curve in calculus is a picture of an integral.
The region enclosed by the curve, the axis, and the boundary points is referred to as the "area under the curve." Using the coordinate axes and the integration formula, the area under the curve has been determined as a two-dimensional area. The area of the asymmetric plane form in a two-dimensional array is provided by the region beneath the curve.
The region bounded by the lines y = 5 and 2y + 4x = 8 and the curve
2y = 4√x
Now, finding the intersecting point between 2y + 4x = 8 and 2y = 4√x
so, 4√x + 4x = 8
or, √x + x = 2
or, √x = (2 - x)
or, x = (2 - x)²
or, x = x² - 4x + 4
or, x² - 5x + 4 = 0
or, ( x - 4) ( x - 1) = 0
or, x = 4, 1
when x = 4 then y = 2√4 = 4
when x = 1 then y = 2 √1 = 2
when y = 4 and x = 4 then equation 2y + 4x = 8 is not satisfied.
Thus, only intersection point is: (1,2)
This is the type (II) region.
So, integrate the region with respect to y.
Now, area =
= \(\int\limits^5_2 {(y/2)^2 - ((8-2y) / 4)} \, dy\)
= \(\int\limits^5_2 {[(y^2/4) -2 + (y/2)]} \, dy\)
= \(\frac{1}{4} [y^3/3]^5_2 - 2 [y]^5_2 + \frac{1}{2} [y^2/2]^5_2\)
= \(\frac{117}{12} - 6 + \frac{21}{4}\)
= \(\frac{108}{12}\)
= 9
Thus, area = 9 of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8.
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For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
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when you are looking at a graph, you can say that average? why?
The average line shows the average of the data for a particular graph by drawing a line across the chart at the mean value points on the y-axis. By default, the average line label is displayed as a combination of line value and line title.
Definition of GraphicsGraph is a collection of data from several tables that will be presented or also displayed in the form of images, such as squares, circles, tubes, triangles, beams, cones or others. Graphics are also usually also interpreted as a framework or image that will be used to create a visualization object from data in tables with the aim of being able to provide information about a data from the material presenter to the recipient of the material.
In addition, graphs are also often interpreted as a description of the ups and downs of an existing data, or depicted by lines or pictures. The data used to create graphics can be in the form of numbers, letters, symbols, pictures, symbols, sayings, or paintings.
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Which equation best represents the relationship between x and y in the graph?
Answer:
A is the answer
Step-by-step explanation:
Here is one way pick two easy points (-4,0) and (0,-3)
and sub into each of the equations until you find the one that 'fits'